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arxiv: 1906.01367 · v1 · pith:P6RLMB77new · submitted 2019-06-04 · 🧮 math.AP

Periodic solutions for implicit evolution inclusions

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keywords evolutionimplicitnonlinearperiodicapproximationconsiderdefineddriven
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We consider a nonlinear implicit evolution inclusion driven by a nonlinear, nonmonotone, time-varying set-valued map and defined in the framework of an evolution triple of Hilbert spaces. Using an approximation technique and a surjectivity result for parabolic operators of monotone type, we show the existence of a periodic solution.

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